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Finding the Third Proportional to 131,445 and 205,929

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Solution

The third proportional to 131,445 and 205,929 is: 322,619.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,445 : 205,929 = 205,929 : x
  2. Step 2: Convert to fraction form
    131,445/205,929 = 205,929/x
  3. Step 3: Cross multiply
    131,445x = 205,929 × 205,929
  4. Step 4: Simplify right side
    131,445x = 42,406,753,041
  5. Step 5: Solve for x
    x = 42,406,753,041/131,445
  6. Step 6: Final answer
    x = 322,619.75

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.